Abstract
In the previous chapter I described basic topology and some of its most fundamental theorems and constructions.
Why, sometimes I’ve believed as many as six impossible things before breakfast.
Lewis Carroll, Alice in Wonderland
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References
I. Mirkovic, Lecture Notes in Homological Algebra (University of Massachusetts Amherst, A, 2013)
G.E. Bredon, Topology and Geometry (Springer, Berlin, 1993). ISBN 0-387-97926-3
L.C. Kinsey, Topology of Surfaces (Springer, Berlin, 1993). ISBN 978-1-4612-0899-0
S. Akbulut, J.D. McCarthy, Casson’s invariant for oriented homology 3-spheres. Math. Notes, vol. 36 (Princeton University Press, Princeton, 1990). ISBN 9-780-6-91607-511
S. Bauer, M. Furuta, A stable cohomotopy refinement of Seiberg–Witten invariants, Invent. Math. 155(1), 1 (2004)
C. Manolescu, Pin(2)-equivariant Seiberg-Witten Floer Homology and the triangulation conjecture, J. Amer. Math. Soc. 29, 147 (2016)
R.C. Kirby, L.C. Siebenmann, Foundational essays on topological manifolds, smoothings and triangulations, Ann. of Mathematics Studies, vol. 88 (Princeton University Press, Princeton, 1977). ISBN 978-06910-8191-5
P.S. Alexandrov, T.H. Komm, Combinatorial Topology (Graylock Press, Adams, 1956). ISBN-13: 978-04864-0179-9
H.S.M. Coxeter, Regular Polytopes (Dover edition, New York, 1973). ISBN 0-486-61480-8
J.F. Davis, P. Kirk, Lecture Notes in Algebraic Topology, Dept. of Math. Indiana University, Bloomington, IN 47405 (1991)
D.E. Gelewski, R.J. Stern, Classification of simplicial triangulations of topological manifolds, Ann. of Mathematics, 111, 1 (1980)
J. de Loera, J. Rambau, Triangulations: structures for algorithms and applications (Springer, Berlin, 2010). ISBN 978-3-642-12970-4
X. Allamigeon, P. Benchimol, S. Gaubert, M. Joswig, Combinatorial simplex algorithms can solve mean payoff games. SIAM J. Opt. 24, 4 (2014)
L.S. Pontryagin, Foundations of Combinatorial Topology (Dover Publications, New York, 2015). ISBN-13: 978-0-486-40685-5
V. Drobot, S. McDonald, Approximation properties of polynomials with bounded integer coefficients, Pacific J. Math. 86, 447 (1980)
N.E. Steenrod, Homology with local coefficients, Ann. of Math., Second series, 44(4), 610 (1943)
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Patrascu, AT. (2017). Algebraic Topology. In: The Universal Coefficient Theorem and Quantum Field Theory. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-319-46143-4_3
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DOI: https://doi.org/10.1007/978-3-319-46143-4_3
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